Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1293

 Title: Theorems on the Convergence of Series in Generalized Lommel-Wright Functions Authors: Paneva-Konovska, Jordanka Keywords: BesselBessel-MaitlandGeneralized Bessel-MaitlandWrightGeneralized Lommel-Wright FunctionsCauchy-HadamardAbel and Tauber Theorems30B1030B3033C1033C20 Issue Date: 2007 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 10, No 1, (2007), 59p-74p Abstract: The classical Cauchy-Hadamard, Abel and Tauber theorems provide useful information on the convergence of the power series in complex plane. In this paper we prove analogous theorems for series in the generalized Lommel-Wright functions with 4 indices. Results for interesting special cases of series involving Bessel, Bessel-Maitland, Lommel and Struve functions, are derived.We provide also a new asymptotic formula for the generalized Lommel-Wright functions in the case of large values of the index ν that are used in the proofs of the Cauchy-Hadamard, Abel and Tauber type theorems for the considered series. Description: Mathematics Subject Classification: 30B10, 30B30; 33C10, 33C20 URI: http://hdl.handle.net/10525/1293 ISSN: 1311-0454 Appears in Collections: 2007

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